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Finding the Fourth Proportional to 23,218.26, 32,041.26 and 12,607.80

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Solution

The fourth proportional to 23,218.26, 32,041.26 and 12,607.80 is: 17,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.26 : 32,041.26 = 12,607.80 : x
  2. Step 2: Convert to fraction form
    23,218.26/32,041.26 = 12,607.80/x
  3. Step 3: Cross multiply
    23,218.26x = 32,041.26 × 12,607.80
  4. Step 4: Simplify right side
    23,218.26x = 403,969,797.83
  5. Step 5: Solve for x
    x = 403,969,797.83/23,218.26
  6. Step 6: Final answer
    x = 17,398.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.